Search a number
-
+
10761764641 is a prime number
BaseRepresentation
bin10100000010111001…
…10111111100100001
31000210000011021202121
422001130313330201
5134020002432031
64535513544241
7530454330055
oct120134677441
930700137677
1010761764641
114622810071
122104115081
131026773a94
147413b7c65
1542ebd1011
hex281737f21

10761764641 has 2 divisors, whose sum is σ = 10761764642. Its totient is φ = 10761764640.

The previous prime is 10761764627. The next prime is 10761764683. The reversal of 10761764641 is 14646716701.

10761764641 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9916176400 + 845588241 = 99580^2 + 29079^2 .

It is a cyclic number.

It is not a de Polignac number, because 10761764641 - 27 = 10761764513 is a prime.

It is not a weakly prime, because it can be changed into another prime (10761764621) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5380882320 + 5380882321.

It is an arithmetic number, because the mean of its divisors is an integer number (5380882321).

Almost surely, 210761764641 is an apocalyptic number.

It is an amenable number.

10761764641 is a deficient number, since it is larger than the sum of its proper divisors (1).

10761764641 is an equidigital number, since it uses as much as digits as its factorization.

10761764641 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 169344, while the sum is 43.

The spelling of 10761764641 in words is "ten billion, seven hundred sixty-one million, seven hundred sixty-four thousand, six hundred forty-one".